Mathematics Stack Exchange
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Questions tagged [constants]

For questions about mathematical constants, that are "significantly interesting in some way".

A mathematical constant is a special number, usually a real number, that is "significantly interesting in some way". Constants arise in many different areas of mathematics. Constants such as $e$ and $\pi$ occur in diverse contexts such as geometry, number theory and calculus.

What it means for a constant to arise "naturally", and what makes a constant "interesting", is ultimately a matter of taste. Some mathematical constants are notable more for historical reasons than for their intrinsic mathematical interest. The more popular constants have been studied throughout the ages and computed to many decimal places.

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Distributing 2 times k equals k?

in my current discrete mathmatics course I have this calculation at the end of a proof: $$\frac {k(k+1)+2(k+1)}2=\frac {(k+1)(k+2)}2$$ enter image description here I dont under stand why 2*k ends up being k? I guessing there is some calculations…
s3j80
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Constant Rate of Decline Over x Period- Average Per Day

Forgive me ignorance in advance for this question as I'm not a mathematician in any respect. I can't even pretend to give correct terminology so I'll just give an example: We're a a retail company. We buy 1000 units of products. We sell an equal…
David-Dj Bryant
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Constant or Not?

Suppose I define $G(x)=\int_0^xf(t)dt$ as the area under the function $f(t)$ of which both $0$ and $x$ are within the domain of $f$, and $x$ can take any value within the domain. Hence we can conclude $x$ is not a constant since it can take any…
Bahog Bilat
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Find the value of constant K in line.

Three points have coordinates $A (0, 7)$ $B (8, 3)$ and $C (3k, k)$. Find the value of the constant $k$ for which: i) $C$ lies on the line that passes through $A$ and $B$. So what I did was that I firstly found the gradient. $y2-y1/x2-x1$. = $m…
Debbie Williams
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Max n value for $\frac{1}{x^x}=y^y+n$?

I was looking at the graph of $$\frac{1}{x^x}=y^y+n$$ and found that it disappears at n greater than about $0.752$. What is the exact constant definition for n and why does the graph disappear (perhaps it becomes undefined or imaginary) at n…
tyobrien
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What is $1 \over \infty$ really?

Let's define infinity ($\infty$) as the number larger than any finite number. Also, let's define the infinitesimal constant ($\epsilon$) as the smallest number greater than zero. What is $\frac{1}{\infty}$? Is it zero or $\epsilon$? And why? What…
DrZ214
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How to find the constant of an expanded binomial expression?

Can somebody please explain how to find the Constant Term in an Expanded Binomial Expression? I have looked online and a lot of the explanations have confused me. The problem i'm currently on is finding the Constant Term of: non-expanded:(x-2)^2…
bryanna
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